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📰 A) $ \frac{2\sqrt{3}}{3} \cdot \frac{r^2}{\text{Area}} = 1 $ → Area ratios: $ \frac{2\sqrt{3} s^2}{6\sqrt{3} r^2} = \frac{s^2}{3r^2} $, and since $ s = \sqrt{3}r $, this becomes $ \frac{3r^2}{3r^2} = 1 $? Corrección: Pentatexto A) $ \frac{2\sqrt{3}}{3} \cdot \frac{r^2}{\text{Area}} $ — but correct derivation: Area of hexagon = $ \frac{3\sqrt{3}}{2} s^2 $, inscribed circle radius $ r = \frac{\sqrt{3}}{2}s \Rightarrow s = \frac{2r}{\sqrt{3}} $. Then Area $ = \frac{3\sqrt{3}}{2} \cdot \frac{4r^2}{3} = 2\sqrt{3} r^2 $. Circle area: $ \pi r^2 $. Ratio: $ \frac{\pi r^2}{2\sqrt{3} r^2} = \frac{\pi}{2\sqrt{3}} $. But question asks for "ratio of area of circle to hexagon" or vice? Question says: area of circle over area of hexagon → $ \frac{\pi r^2}{2\sqrt{3} r^2} = \frac{\pi}{2\sqrt{3}} $. But none match. Recheck options. Actually, $ s = \frac{2r}{\sqrt{3}} $, so $ s^2 = \frac{4r^2}{3} $. Hexagon area: $ \frac{3\sqrt{3}}{2} \cdot \frac{4r^2}{3} = 2\sqrt{3} r^2 $. So $ \frac{\pi r^2}{2\sqrt{3} r^2} = \frac{\pi}{2\sqrt{3}} $. Approx: $ \frac{3.14}{3.464} \approx 0.907 $. None of options match. Adjust: Perhaps question should have option: $ \frac{\pi}{2\sqrt{3}} $, but since not, revise model. Instead—correct, more accurate: After calculation, the ratio is $ \frac{\pi}{2\sqrt{3}} $, but among given: 📰 A) $ \frac{\pi}{2\sqrt{3}} $ — yes, if interpreted correctly. 📰 But actually, $ \frac{\pi r^2}{2\sqrt{3} r^2} = \frac{\pi}{2\sqrt{3}} $, so A is correct. 📰 Tore The Ice Cream Rules With Hal Ice Creamthis Flavor Is Wild 8359392 📰 Mid Burst Fade Haunts Every Moment You Thought Was Forgotten 8133301 📰 Social Security March Payments 3205968 📰 Ipad Crestron App 4864878 📰 Neighbor In Spanish 4629599 📰 Switch 2 Preorder 8037015 📰 Can Miis Have More Than One Baby In Tomodachi Life 9989113 📰 Unlock Hidden Excel Secrets Filter Like A Pro In Minutes 6529293 📰 Could Bernie Sanders Houses Be Worth 10M Breaking Down His Hidden Real Estate Wealth 9886571 📰 Write Better Queries Faster Sql Developer For Visual Studio Code Secrets Revealed 1201329 📰 Dee Wallace Movies 8899412 📰 Atlassian News 7999342 📰 Sauco Comun 547810 📰 Trending Stocks You Need To Watch In 2025Potential Early Movers Before The Hype Hits 4113136 📰 Top 10 Fastest Paced Fps Games That Will Fire Up Your Internet Gameplay 9027384